Least Common Multiple

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Find the *Least Common Multiple* (LCM) of the numbers 48 and 45.

**Answer**

$48=({2}^{4})(3)$

$45=({3}^{2})(5)$

The LCM of 48 and 45 is the product of the largest powers of each prime factor in both.

Thus the LCM of 48 and 45

$=({2}^{4})({3}^{2})(5)$

$=720$